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Finding the Fourth Proportional to 2,993.16, 4,489.92 and 913.31

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Solution

The fourth proportional to 2,993.16, 4,489.92 and 913.31 is: 1,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.16 : 4,489.92 = 913.31 : x
  2. Step 2: Convert to fraction form
    2,993.16/4,489.92 = 913.31/x
  3. Step 3: Cross multiply
    2,993.16x = 4,489.92 × 913.31
  4. Step 4: Simplify right side
    2,993.16x = 4,100,666.39
  5. Step 5: Solve for x
    x = 4,100,666.39/2,993.16
  6. Step 6: Final answer
    x = 1,370.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.